# 30. A merry-go-round, made of a ring-like platform of radius

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30. A merry-go-round, made of a ring-like platform of radius R and mass M, is
revolving with angular speed o. A person of mass M is standing on it. At one
instant, the person jumps off the round, radially away from the centre of the round
(as seen from the round). The speed of the round afterwards is
1)20
2)o
3)
4)0
2
sri Cha inya IIT Academy
31.
19-09-2020 Jr.Super60(In Com)_Jee-Main_UTM-06_Q.P
i the figure shown a smooth ring is connected to rod AB, while rod CD passes
through ring. At the given instant angular velocity of rod AB about hinge A is 1
rad/s and AC= CB. Instantaneous angular velocity of rod CD about hinge C is
B
o-lrad /s
3) V3
2) rad /s
2
rad is
1)1 rad /s
-rad/s
2
Two strings support a uniform rod as shown. String at end B is cut. Which of the
following is true just after cut
32.
1) Initial acceleration of A is vertical and Initial acceleration of centre of mass of
rod is vertical
initial acceleration of A is horizontal and initial acceleration of centre of mass
of rod is vertical
3) Initial acceleration of A is vertical and initial acceleration of centre of mass of
rod is horizontal
4) Initial acceleration of A is horizontal and initial acceleration of centre of mass
of rod is horizontal
33
diameter of its base. This fixed axis is unfixed and the end of the radius
A uniform solid hemisphere is purely rotating with angular velocityo about a
perpendicular to the base becomes suddenly fixed. The hemisphere is free to
rotate about this new fixed point and it starts rotating about this point with
angular velocity
21o
1)-
104
2)
13
4)o
26